What is the solution of the equation −8x+13=−19 ??

Answer 1

To solve the equation \(-8x + 13 = -19\), follow these steps:

1. Subtract 13 from both sides: \[ -8x + 13 - 13 = -19 - 13 \] This simplifies to: \[ -8x = -32 \]

2. Divide both sides by -8: \[ x = \frac{-32}{-8} \] This simplifies to: \[ x = 4 \]

So, the solution to the equation \(-8x + 13 = -19\) is \(x = 4\).

Answer 2

What is the solution of the equation  11−4x=−9  ?

Answer 3

To solve the equation \( 11 - 4x = -9 \), follow these steps:

1. Subtract 11 from both sides: \[ 11 - 4x - 11 = -9 - 11 \] This simplifies to: \[ -4x = -20 \]

2. Divide both sides by -4: \[ x = \frac{-20}{-4} \] This simplifies to: \[ x = 5 \]

So, the solution to the equation \( 11 - 4x = -9 \) is \( x = 5 \).

Answer 4

What is the solution of the equation  2/5x+4=1/5 ?

Answer 5

To solve the equation \(\frac{2}{5}x + 4 = \frac{1}{5}\), follow these steps:

1. Subtract \(4\) from both sides: \[ \frac{2}{5}x + 4 - 4 = \frac{1}{5} - 4 \] This simplifies to: \[ \frac{2}{5}x = \frac{1}{5} - \frac{20}{5} \] \[ \frac{2}{5}x = \frac{1 - 20}{5} \] \[ \frac{2}{5}x = \frac{-19}{5} \]

2. Multiply both sides by the reciprocal of \(\frac{2}{5}\) (which is \(\frac{5}{2}\)): \[ x = \frac{-19}{5} \times \frac{5}{2} \] \[ x = \frac{-19 \times 5}{5 \times 2} \] \[ x = \frac{-19}{2} \]

Thus, the solution to the equation \(\frac{2}{5}x + 4 = \frac{1}{5}\) is: \[ x = -\frac{19}{2} \] or \(x = -9.5\).

Answer 6

What is the solution of the equation  5/3−2x=1/6 ?

Answer 7

To solve the equation \(\frac{5}{3} - 2x = \frac{1}{6}\), follow these steps:

1. First, isolate the term with \(x\) by subtracting \(\frac{5}{3}\) from both sides: \[ -2x = \frac{1}{6} - \frac{5}{3} \]

2. To subtract the fractions \(\frac{1}{6}\) and \(\frac{5}{3}\), we need a common denominator. The least common denominator (LCD) of 6 and 3 is 6. Rewrite \(\frac{5}{3}\) with a denominator of 6: \[ \frac{5}{3} = \frac{5 \times 2}{3 \times 2} = \frac{10}{6} \]

3. Now, substitute back into the equation: \[ -2x = \frac{1}{6} - \frac{10}{6} \] \[ -2x = \frac{1 - 10}{6} \] \[ -2x = \frac{-9}{6} \]

4. Simplify \(\frac{-9}{6}\): \[ -2x = -\frac{3}{2} \]

5. Now, divide both sides by \(-2\) (which is the same as multiplying by \(-\frac{1}{2}\)): \[ x = \frac{-\frac{3}{2}}{-2} \] \[ x = \frac{3}{2} \times \frac{1}{2} = \frac{3}{4} \]

Thus, the solution to the equation \(\frac{5}{3} - 2x = \frac{1}{6}\) is: \[ x = \frac{3}{4} \]

Answer 8

What is the solution of the equation  0.2x−2.15=−8.27

Answer 9

To solve the equation \(0.2x - 2.15 = -8.27\), follow these steps:

1. Add \(2.15\) to both sides: \[ 0.2x - 2.15 + 2.15 = -8.27 + 2.15 \] This simplifies to: \[ 0.2x = -6.12 \]

2. Divide both sides by \(0.2\): \[ x = \frac{-6.12}{0.2} \] \[ x = -30.6 \]

Thus, the solution to the equation \(0.2x - 2.15 = -8.27\) is: \[ x = -30.6 \]

Answer 10

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Answer 11

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